Transcendental simplicial volumes
Geometric Topology
2020-11-17 v2 Group Theory
Abstract
We show that there exist closed manifolds with arbitrarily small transcendental simplicial volumes. Moreover, we exhibit an explicit uncountable family of (transcendental) real numbers that are not realised as the simplicial volume of a closed manifold.
Cite
@article{arxiv.1911.06386,
title = {Transcendental simplicial volumes},
author = {Nicolaus Heuer and Clara Loeh},
journal= {arXiv preprint arXiv:1911.06386},
year = {2020}
}
Comments
Final version. To appear in Annales de l'institut Fourier